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Simplifying -4(4p + 3) + -39 = 3(2p + 5) Reorder the terms: -4(3 + 4p) + -39 = 3(2p + 5) (3 * -4 + 4p * -4) + -39 = 3(2p + 5) (-12 + -16p) + -39 = 3(2p + 5) Reorder the terms: -12 + -39 + -16p = 3(2p + 5) Combine like terms: -12 + -39 = -51 -51 + -16p = 3(2p + 5) Reorder the terms: -51 + -16p = 3(5 + 2p) -51 + -16p = (5 * 3 + 2p * 3) -51 + -16p = (15 + 6p) Solving -51 + -16p = 15 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -51 + -16p + -6p = 15 + 6p + -6p Combine like terms: -16p + -6p = -22p -51 + -22p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -51 + -22p = 15 + 0 -51 + -22p = 15 Add '51' to each side of the equation. -51 + 51 + -22p = 15 + 51 Combine like terms: -51 + 51 = 0 0 + -22p = 15 + 51 -22p = 15 + 51 Combine like terms: 15 + 51 = 66 -22p = 66 Divide each side by '-22'. p = -3 Simplifying p = -3
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